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pro vyhledávání: '"Pah, Chin Hee"'
In this paper, we consider the $\lambda$-model with nearest neighbor interactions and with competing Potts interactions on the Cayley tree of order-two. We notice that if $\lambda$-function is taken as a Potts interaction function, then this model co
Externí odkaz:
http://arxiv.org/abs/1904.06190
In this paper we consider the $\lambda$-model on the Cayley tree of order two. We describe periodic and weakly periodic ground states for the considered model.
Comment: 20 pages, 1 figure
Comment: 20 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/1612.05940
In the paper, we consider the $\lambda$-model with spin values $\{1, 2, 3\}$ on the Cayley tree of order two. We first describe ground states of the model. Moreover, we also proved the existence of translation-invariant Gibb measures for the $\lambda
Externí odkaz:
http://arxiv.org/abs/1610.07019
Autor:
Alp, M.1 (AUTHOR), Pah, Chin Hee2 (AUTHOR), Saburov, M. K.1 (AUTHOR) mansur.saburov@aum.edu.kw
Publikováno v:
Theoretical & Mathematical Physics. Mar2023, Vol. 214 Issue 3, p406-420. 15p.
We denote a polygon as a connected component in Cayley tree of order 2 containing certain number of fix vertices. We found an exact formula for a polygon counting problem for two cases, in which, for the first case the polygon contain a full connecte
Externí odkaz:
http://arxiv.org/abs/1004.2305
We have found an exact phase diagram of the Potts model with next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting a
Externí odkaz:
http://arxiv.org/abs/0803.2558
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:9834-9845
Autor:
Ftameh Khaled, Pah Chin Hee
Publikováno v:
Mathematics and Statistics. 9:151-158
It is widely recognized that the theory of quadratic stochastic operator frequently arises due to its enormous contribution as a source of analysis for the investigation of dynamical properties and modeling in diverse domains. In this paper, we are m
Publikováno v:
In Examples and Counterexamples June 2024 5
Publikováno v:
Theoretical & Mathematical Physics. Feb2018, Vol. 194 Issue 2, p260-273. 14p.